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Finding the Fourth Proportional to 307,813.20, 461,719.80 and 167,845.20

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Solution

The fourth proportional to 307,813.20, 461,719.80 and 167,845.20 is: 251,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,813.20 : 461,719.80 = 167,845.20 : x
  2. Step 2: Convert to fraction form
    307,813.20/461,719.80 = 167,845.20/x
  3. Step 3: Cross multiply
    307,813.20x = 461,719.80 × 167,845.20
  4. Step 4: Simplify right side
    307,813.20x = 77,497,452,174.96
  5. Step 5: Solve for x
    x = 77,497,452,174.96/307,813.20
  6. Step 6: Final answer
    x = 251,767.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.